The question ask to prove undominated strategies in steps then what the rationalized answer is at the end.

Consider a game with two players, i = 1, 2 where each has a continuous strategy, s; E [0, 4], for i = 1, 2. Suppose that the best response functions are the same for both players and are given by: + : . Sj if s; E [0, 1) BRi($j) = if s; E [1, 4] (a) Characterize the set of undominated strategies in this game, and describe the resulting reduced game Ri. (b) Characterize the set of undominated strategies in the reduced game R' and describe the resulting reduced game R2. (c) Characterize the set of rationalizable strategies in this game